It will take the toy 5.02 seconds to reach the ground, The speed at which the toy hits the ground is 49.0 m/s.
Free fall is the motion of an object falling solely under the influence of gravity. In free fall, the object experiences an acceleration of 9.8 m/s^2 downwards towards the ground (assuming no air resistance), regardless of its mass or size.
a. To determine the time it takes for the toy to reach the ground, we can use the formula for the height of an object in free fall:
h = (1/2)gt^2
Where h is the initial height, g is the acceleration due to gravity, and t is time.
At the instant the toy is dropped, its initial height above the ground is h = 120.0 m, and the acceleration due to gravity is g = 9.8 m/s^2. Thus, we can rearrange the formula to solve for time:
t = sqrt(2h/g)
t = sqrt(2(120.0 m)/(9.8 m/s^2)) = 5.02 s
So, it will take the toy approximately 5.02 seconds to reach the ground.
b. To find the speed at which the toy hits the ground, we can use the formula for final velocity in free fall:
v = sqrt(2gh)
Where v is the final velocity, g is the acceleration due to gravity, and h is the initial height. At impact, the initial height of the toy is 0 m. Therefore:
v = sqrt(2gh)
v = sqrt(2(9.8 m/s^2)(120.0 m))
v = 49.0 m/s
So, the speed at which the toy hits the ground is approximately 49.0 m/s.
Hence, The toy will fall to the earth in 5.02 seconds, hitting the ground at a speed of 49.0 m/s.
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A cube of ice is taken from the freezer at -8.7°C and placed in a 104 g glass cup filled with 330 g of water. Both the water & the cup are at 22.5°C. Eventually the system reaches thermal equilibrium at 15.4°C. Determine Qcup,
Qwater (for the water initially in the cup), Qice, & the mass of the ice.
Quip=
Qwater =
Qice =
Mice =
The value of the heat changes is as follows:
Qcup = -271 JQwater = -12284 JQice = 3951 JMice = 38.95 gWhat is the heat quantity of the cup, Qcup?The heat quantity of the cup, Qcup is calculated using the formula below:
Q = mcΔT
where;
Q is the heat absorbed or released,m is the mass of the substance,c is its specific heat capacity,ΔT is the change in temperature.The heat absorbed by the glass cup, Qcup will be:
Qcup = 104 * 0.385 * (15.4- 22.0)
Qcup = -271 J
The heat absorbed by the water, Qwater will be:
Qwater = 330 * 4.184 * *(15.4 - 22.5)
Qwater = -12284 J
The mass of the ice, Mice, that melted will be:
Heat absorbed by ice = Heat released by water + heat released by cup
-MiceΔHf = Qwater + Qcup
where
ΔHf is the heat of fusion of ice = 333.55 J/gMice = -(Qwater + Qcup) / ΔHf
Mice = -(-1228 - 271) / 333.55
Mice = 38.95 g
Finally, the heat absorbed by the ice will be:
Qice = mcΔT
Qice = (38.95 g) (2.108 J/g°C) (15.4°C - (-8.7°C))
Qice = 3951 J
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which substance listed in the chart is made up of the most atoms
All substance listed in the chart is made up of the atoms.
Atom is smallest entity of a substance. Body is made up of atoms. it is basic building block of a body. An atom consist of electrons, protons and neutrons as sub atomic particle. whole mass of the atom is concentrated at the center of the atom which we call it as nucleus, nucleus consist of proton and neutron. Electron revolve around the nucleus at determined(fixed) orbit. Total number of protons in the atom decides the atomic number and the elements in the periodic table. The electrons which are completely filled orbitals are called as core shell electrons and which are not filled completely are called as valence electron. valence electrons are responsible for physical and chemical properties of the element. Elements which are on same column in periodic table have same number of valence electrons . Hence they have same properties.
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What is the process where light bounces back from an object at the same angle and intensity as it. is received by the object?
Answer: It is Reflection
Explanation: Reflection occurs when incoming solar radiation bounces back from an object or surface that it strikes in the atmosphere, on land, or water, and is not transformed into heat.
How would the pollution from 2 coal plants compare if the first plant were twice as energy efficient as the second one?
The pollution from the first plant would be half that of the second plant for the same amount of energy produced.
The energy efficiency of a coal plant refers to the amount of energy produced per unit of fuel consumed. If the first plant is twice as energy efficient as the second plant, it means that it can produce the same amount of energy using half the amount of fuel.
Since pollution from coal plants is directly proportional to the amount of fuel consumed, the first plant would produce half the pollution of the second plant for the same amount of energy produced. This assumes that the two plants have the same level of emissions per unit of fuel consumed, which may not necessarily be the case.
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Which of the following would you expect to be a strong electrolyte in solution?
The following would expect to be a strong electrolyte in solution (b) KCI is correct option.
When dissolved in water, a strong electrolyte produces a large concentration of ions in solution by totally dissociating into ions. The following compounds are typically strong electrolytes in solution according to this definition:
Al(OH)₃ (aluminum hydroxide) is a weak electrolyte. It does not dissociate significantly into ions in solution, resulting in a low electrical conductivity.KCl (potassium chloride) is a strong electrolyte. It completely dissociates into potassium ions (K⁺) and chloride ions (Cl⁻) in solution, resulting in a high concentration of ions and a high electrical conductivity.PbI₂ (lead(II) iodide) is a weak electrolyte. It does not dissociate significantly into ions in solution, resulting in a low electrical conductivity.These substances readily dissociate into ions in water and exhibit high electrical conductivity, making them strong electrolytes in solution.
Therefore, the correct option is (b).
The complete question is,
Which of the following would be a strong electrolyte in solution?
a) Al(OH)₃ b) KCI c) Pbl₂
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1) Compute the x and y components of the following vectors, and state them in component form.
a) A 8.0 m South
b) B-15.0 m at 30-East of North
c) C = 12.0 m at 25-South of West -
d) D=10.0 m at 53-West of North-
a) A = 8.0 m South
Since the vector is directly along the South direction, there is no x component.
x component: 0 m
y component: -8.0 m (negative because it's southward)
Component form: A = (0, -8.0)
b) B = -15.0 m at 30° East of North
To find the components, we can use the following relationships:
x component: B_x = B * sin(θ)
y component: B_y = B * cos(θ)
B_x = -15.0 * sin(30°) = -15.0 * 0.5 = -7.5 m
B_y = -15.0 * cos(30°) = -15.0 * (sqrt(3)/2) ≈ -12.99 m
Component form: B ≈ (-7.5, -12.99)
c) C = 12.0 m at 25° South of West
x component: C_x = -C * cos(θ) (negative because it's westward)
y component: C_y = -C * sin(θ) (negative because it's southward)
C_x = -12.0 * cos(25°) ≈ -10.85 m
C_y = -12.0 * sin(25°) ≈ -5.16 m
Component form: C ≈ (-10.85, -5.16)
d) D = 10.0 m at 53° West of North
x component: D_x = -D * sin(θ) (negative because it's westward)
y component: D_y = D * cos(θ)
D_x = -10.0 * sin(53°) ≈ -8.0 m
D_y = 10.0 * cos(53°) ≈ 6.0 m
Component form: D ≈ (-8.0, 6.0)
Water runs into a fountain, filling all the pipes, at a steady rate of 0.757 m3/s. (A) How fast will it shoot out of a hole 4.51cm in diameter? (B) At what speed will it shoot out if the diameter of the hole is three times as large?
(A)The water will shoot out of the hole at a speed of 4.77 m/s, and the pressure of the water at the hole will be 9.91 × 10^4 Pa, and (B) The water will shoot out of the larger hole at a speed of 0.529 m/s, and the pressure of the water at the hole will be 1.012 × 10^5 Pa.
We can use Bernoulli's equation to solve this problem, which relates the pressure, velocity, and height of a fluid. The equation states that:
P + (1/2)ρv^2 + ρgh = constant
where P is the pressure, ρ is the density of the fluid, v is the velocity of the fluid, g is the acceleration due to gravity, and h is the height of the fluid.
(A) The diameter of the hole is 4.51 cm, which corresponds to a radius of 2.255 cm = 0.02255 m. The area of the hole is A = πr^2 = 1.587 × 10^-4 m^2. The volume flow rate of water is Q = 0.757 m^3/s.
We can calculate the velocity of the water as it exits the hole using the equation:
Q = Av
where A is the area of the hole and v is the velocity of the water. Solving for v, we get:
v = Q/A = 4.77 m/s
Now, we can use Bernoulli's equation to find the pressure of the water at the hole. Assuming that the height of the fountain is negligible compared to the height of the atmosphere, we can set the height term to zero. Also, we can assume that the pressure at the surface of the fountain is atmospheric pressure, which we can take as P = 1.013 × 10^5 Pa. Then, the equation becomes:
P + (1/2)ρv^2 = constant
Solving for P, we get:
P = constant - (1/2)ρv^2
At the hole, the velocity of the water is v = 4.77 m/s, and the density of water is ρ = 1000 kg/m^3. Substituting these values, we get:
P = 1.013 × 10^5 Pa - (1/2) × 1000 kg/m^3 × (4.77 m/s)^2 = 9.91 × 10^4 Pa
So, the water will shoot out of the hole at a speed of 4.77 m/s, and the pressure of the water at the hole will be 9.91 × 10^4 Pa.
(B) If the diameter of the hole is three times as large, then the area of the hole will be nine times as large. Therefore, the volume flow rate of water will be distributed over a larger area, resulting in a lower velocity. The new area of the hole is A = 9 × 1.587 × 10^-4 m^2 = 1.43 × 10^-3 m^2. The volume flow rate of water is still Q = 0.757 m^3/s.
Using the equation Q = Av, we can find the new velocity of the water:
v = Q/A = 0.529 m/s
Using Bernoulli's equation, we can find the pressure of the water at the larger hole:
P = 1.013 × 10^5 Pa - (1/2) × 1000 kg/m^3 × (0.529 m/s)^2 = 1.012 × 10^5 Pa
So, the water will shoot out of the larger hole at a speed of 0.529 m/s, and the pressure of the water at the hole will be 1.012 × 10^5 Pa.
Hence, Water will flow out of the smaller hole at a speed of 0.529 m/s and a pressure of 1.012 × 10^5 Pa, and the water will shoot out of the hole at a speed of 4.77 m/s and a pressure of 9.91 × 10^4 Pa.
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A 20 kg child is on a swing that hangs from 2.6-m-long chains. What is her maximum speed if she swings out to a 50 degree angle?
In the figure, point P2 is at perpendicular distance R= 20.6 cm from one end of straight wire of length L = 12.2 cm carrying current i = 0.780 A. (Note that the wire is not long.) What is the magnitude of the magnetic field at P₂?
The magnitude of the magnetic field at P₂ is 6.06 x 10⁻⁵ T.
Using the Biot-Savart Law, we can determine the magnetic field at point P2 due to the current-carrying wire. The magnitude of the magnetic field B at P2 is given by:
B = μ₀i/4π (sinθ₁ - sinθ₂)
where μ₀ is the magnetic constant, i is the current, θ₁ is the angle between the wire and the line joining the wire and point P₂, and θ₂ is the angle between the wire and the line perpendicular to the wire and passing through point P₂.
From the given diagram, we can see that sinθ₁ = L/2R and sinθ₂ = (R - L/2)/R. Substituting these values and the given values of i, L, and R into the equation, we get:
B = (4π x 10⁻⁷ Tm/A) x 0.780 A / 4π (L/2R - (R - L/2)/R)
= 6.06 x 10⁻⁵ T
As a result, the magnetic field magnitude at P₂ is 6.06 x 10⁻⁵ T.
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Construct a parallel-plate capacitor where a second line of charges equal in size and opposite in charge are placed below the line of positive charges. Examine what the "E-field" is like between the plates using a sensor.
A capacitor with two lines of charge on its parallel plates. The bottom plate has an equal line of negative charges that are the opposite in charge to the positive charges on the top plate, while the top plate has a line of positive charges.
As a result, an electric field (E-field) is produced between the plates that can be measured with a sensor.
In a parallel-plate capacitor, the E-field between the plates is uniform and pointed perpendicularly to the plates. It is represented by the equation E = σ/ε, where ε is the permittivity of the medium between the plates and σ is the charge density (charge per unit area) on the plates.
In this instance, the charge density on the top and bottom plates is the same but with opposing signs since the lines of charges on the plates are equal in size and opposite in charge. Assume that the top plate has positive charges and the bottom plate has negative charges, and that the charge density on both plates equals.
A sensor placed between the capacitor's plates will now allow us to measure the E-field, which will reveal that it is constant and perpendicular to the plates. E = σ/ε, where σ, is the charge density and is the permittivity of the medium between the plates, will be the magnitude of the E-field.
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What areas of daily life are the effects of the laws of physics seen?
Answer: Our day-to-day life highly relates to physics.
Explanation: We know that in physics there are many laws such as gravitational laws, laws of friction, and inertia.For example
When we drive a car, and suddenly apply the bake the drive moves forward. This is actually the LAW OF INERTIA.If we placed a ball on the surface it does not change its position until a force is applied. When we placed an object on the surface of the earth, it does not change its position and size until an external force is applied. This is an example of NEWTON'S FIRST LAW.Writing with a ballpoint pen is another example of a LAW OF GRAVITY. When we write with a ballpoint pen the ball spins and because of the gravity the ink travel to the paper.
The magnitude of a uniform electric field between two plates is about 1.7 ✕ 106 N/C. If the distance between these plates is 3.7 cm, find the potential difference between the plates.
The magnitude of a uniform electric field between two plates of capacitor is about 1.7 ✕ 106 N/C. If the distance between these plates is 3.7 cm then the potential difference between the plates is 62.5 kV.
A capacitor is a device that stores electrical energy in an electric field by collecting electric charges on two isolated surfaces. It is a two-terminal passive electrical component.
Electric field of the parallel plate capacitor is given as,
E = V/d
Given,
E = 1.7 ✕ 10⁶ N/C.
d = 3.7 cm,
V= Ed
V = 1.7 ✕ 10⁶ N/C × 3.7 × 10⁻² m
V = 62.5 kV.
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Which two options are forms of potential energy?
A. Chemical energy
B. Sound energy
c. Electrical energy
D. Thermal energy
E. Nuclear energy
Carnot engine A operates between temperatures of 500°C and 300°C. Carnot engine B operates between 900°C and 700°C. Which statement correctly compares the efficiencies of the engines?
A.Both engines have the same efficiency.
B.Engine B is more efficient than engine A.
C.**Engine A is more efficient than engine B.
Answer: check the pic
Explanation:
A simple circuit contains a battery connected with wires to a small bulb that has a resistance of 150 ohms. If the power dissipated by the bulb is 0.4 W, what is the voltage of the battery?
Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of significant digits to receive full credit.
Answer: The answer is 7.75v
Explanation; As we know,
power dissipated= (voltage)^2/resistance
0.4w = v^2/150
v^2=0.4w*150ohm
v^2=60
v=7.75v
calculate the distance an object moves if 25J of work is done with 3.0N of force
The distance an object moves if 25J of work is done with 3.0N of force is 8.33 m.
For a given amount of force, F, and a given distance, d, the formula for calculating work done is as follows:
Work done = Force x distance
So, the distance would be,
Work done / force = 25/3 = 8.33 m.
Work is the energy exerted by an object when it applies a force to move another object over some distance.
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WILL GIVE BRAINLIEST HELPPP FASTER PLEASE l ONLY RIGHT ANSWER!!!!! l
How can spectroscopy and infrared technology be useful in space?
They can enhance speed by making spacecraft fuel more efficient.
They can measure magnetic fields produced by astronomical bodies.
They can provide an emergency escape to the astronaut from a space center.
They can determine the elements that make up the surface of astronomical bodies.
Answer: D. They can determine the elements that make up the surface of astronomical bodies.
Explanation: Spectroscopy and infrared technology are useful in space because they allow scientists to determine the elements that make up the surface of astronomical bodies, such as planets, moons, and asteroids.
Spectroscopy involves the analysis of light or radiation emitted or absorbed by these bodies. When light interacts with matter, it gets absorbed or emitted in specific wavelengths that correspond to the energy levels of atoms and molecules. By studying the pattern of these wavelengths, scientists can identify the unique "fingerprint" or spectral lines of elements and compounds.
Infrared technology, on the other hand, detects and measures the infrared radiation emitted by objects. This radiation is produced due to the thermal energy or heat emitted by celestial bodies. By analyzing the specific wavelengths of infrared radiation, scientists can gain insights into the composition and temperature of these bodies.
By combining spectroscopy and infrared technology, scientists can gather valuable data about the chemical composition of astronomical bodies. This information helps in understanding the geological processes, formation, and evolution of these bodies. It also provides insights into the presence of specific elements or compounds that may be important for studying habitability, potential resources, or even the origins of life in the universe.
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As explained by the second law of thermodynamics, which example of energy transformation could never occur?
A.**The 400 J of heat added to the operating gas of a heat engine is transformed into 400 J of work.
B.The 400 J of kinetic energy of a rolling ball is transformed into 400 J of heat.
C.A refrigerator removes 100 cal of heat from a bottle of milk while using 75 cal of electrical energy.
D.A heat engine does 25 J of work while expelling 10 J of heat to the cold reservoir.
The example of energy transformation that could never occur, as explained by the second law of thermodynamics, is the 400 J of heat added to the operating gas of a heat engine is transformed into 400 J of work. Option A is correct.
The second law of thermodynamics states that in any energy transformation, the total entropy (measure of disorder) of a closed system will always increase or remain constant. It means that some energy will always be wasted as heat and cannot be completely converted into useful work. The second law of thermodynamics is a fundamental law of nature that governs energy transformations.
It states that in any energy transformation process, the total entropy (measure of disorder) of a closed system will always increase or remain constant. Entropy can be thought of as a measure of the amount of energy that is unavailable to do useful work. It is impossible to transform all 400 J of heat into work without generating any waste heat. This is because the heat engine must expel some heat to the cold reservoir to comply with the second law. Option A is correct.
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orange orb has an emissivity of 0.418 and its surroundings are at 273°C. The orange orb is absorbing heat via radiation at a rate of 362
W and it is emitting heat via radiation at a rate of 384 W. Determine the surface area of the orb, the temperature of the orb, & Pnet
A=
Torb=
Phet =
The orange orb has a surface area, temperature, and a net rate of heat transmission per unit surface area of:
A= 0.1257 m²Torb= 363.7 K (90.5°C)Pnet = 175.1 W/m²How to solve emissivity?To solve this problem, using the equation that combines rates of heat transfer via radiation, emissivity, and surface area of object:
P_net = εσA(T_orb⁴ - T_sur⁴)
where P_net = net rate of heat transfer via radiation,
ε = emissivity of the object (which is given as 0.418),
σ = Stefan-Boltzmann constant, 5.67 x 10⁻⁸ W/m²K⁴,
A = surface area of the object,
T_orb = temperature of the object, and
T_sur = temperature of the surroundings.
First, find the net rate of heat transfer via radiation:
P_net = 384 W - 362 W = 22 W
Plug in the given values and solve for the surface area:
22 W = 0.418 x 5.67 x 10⁻⁸ W/m²K⁴ x A x (T_orb⁴ - 273⁴)
Solving for A:
A = 4πr² = 4π (d/2)² = 4π (0.1 m)² = 0.1257 m²
where assuming the orange orb is a sphere with a diameter of 0.1 m.
Solve for the temperature of the orange orb:
22 W = 0.418 x 5.67 x 10⁻⁸ W/m²K⁴ x 0.1257 m² x (T_orb⁴ - 273⁴)
T_orb⁴ - 273⁴ = 22 W / (0.418 x 5.67 x 10⁻⁸ W/m²K⁴ x 0.1257 m²) = 97417 K⁴
Taking the fourth root of both sides:
T_orb = (97417 K⁴ + 273⁴)^(1/4) = 363.7 K
Calculate the net rate of heat transfer per unit surface area:
P_net/A = 22 W / 0.1257 m² = 175.1 W/m²
Therefore, the surface area of the orange orb is 0.1257 m², its temperature is 363.7 K (90.5°C), and the net rate of heat transfer per unit surface area is 175.1 W/m².
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ܩܩܘܤ ← Interconv problems ... Interconversion problems between kinetic energy and potential energy 1. An object has a mass of 25 kilograms: to. How much is the potential energy if the height is 30 m. b. How much is the kinetic energy at a height of 30 m. If the object is in repose? c. How much is the kinetic energy if the object low at 15 m.? d. How much are the kinetic energy and potential energy when the height is 5 m? and. How much is the kinetic energy and the potential energy of the object just before touch the floor (that is, when the height is 0)? 2. An object has a mass of 56 kilograms: How much is the energy power if the height is 37 m. b. How much is the kinetic energy at a height of 37 m. If the object is in repose? c. How much is the kinetic energy if the object under 25 m. d. How much are the kinetic energy and potential energy when the height is 10 m.? and. How much is the kinetic energy and the potential energy of the object just before touch the floor (that is, when the height is 0)? 3. An object has a mass of 41 kilograms: to. How much is the potential energy if the height is 42 m. b. How much is the kinetic energy at a height of 42 m. If the object is in repose? c. How much is the kinetic energy if the object dropped to 36 m. d. How much are the ki netic energy and potential energy when the height is 18 m.? and. How much is the kinetic energy and the potential energy of the object just before touch the floor (that is, when the height is 0)? 4. An object has a mass of 52 kilograms: to. How much is the potential energy if the height is 38 m. b. How much is the kinetic energy at a height of 38 m. If the object is in repose? c. How much is the kinetic energy if the object dropped to 23 m. d. How much are the kinetic energy and potential energy when the height is 12 m? and. How much is the kinetic energy and the potential energy of the object just before touch the floor (that is, when the height is 0)?
a. The energy will be 7350 Joules.
b. Due Due to the object remaining at rest, its kinetic energy is zero.
c. The value obtained is v is 17.1 m/s.
d. When the object was initially at rest at 30 m, all of its energy was putative energy which totalled 7350 J.
How to calculate the energyPE = mgh = (25 kg)(9.8 m/s^2)(30 m) = 7350 J
Additionally, PE at 5 m is PE = mgh = (25 kg)(9.8 m/s^2)(5 m) = 1225 J. As enforced by the rule of conservation of energy, PE = KE at any point during the fall. Bearing this in mind, at 5 m KE equals 1225 J.
When the object was initially at rest at 30 m, all of its energy was putative energy which totalled 7350 J.
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An electron that has a velocity with x component 2.0 × 106 m/s and y component 3.0 x 106 m/s moves through a uniform magnetic field with x component 0.024 T and y component -0.12 T. (a) Find the magnitude of the magnetic force on the electron. (b) Repeat your calculation for a proton having the same velocity.
A pool noodle has a density of 145 kg/m3, a length of 1.65 m and a radius of 2.5 cm. How many pool noodles would be needed to make a raft that would support the weight of a person with a mass of 65.0kg?
The number of pool noodles that would be needed to support the weight is 20.
What is the volume of single pool noodle?
The volume of a single pool noodle is calculated as follows;
V = πr²h
V = π (0.025)² x 1.65
V = 0.00324 m³
The weight of the water displaced is calculated as follows;
W = ρVg
where;
ρ is the density of waterV is the volumeg is gravityW = 1000 x 0.00324 x 9.8
W = 31.75 N
The number of pool noodles needed to support a person is calculated as follows;
= (65 x 9.8 ) / (31.75)
= 20
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2) Let the angle 8 be the angle that the vector à makes with the I, the x-direction. Find the angle
for the vectors with the following components:
a) Ax=2.00 m and Ay--1.00 m
b) Ax=2.00 m and Ay= 1.00 m
c) Ax= -2.00 m and Ay 1.00
d) Ax= -2.00 m and Ay-1.00 m
(a) Ax=2.00 m and Ay--1.00 m, the angle of the vector is 153.4⁰.
(b) Ax=2.00 m and Ay= 1.00 m, the angle of the vector is 26.6⁰.
(c) Ax= -2.00 m and Ay 1.00 m, the angle of the vector is 333.43⁰.
(d) Ax= -2.00 m and Ay = -1.00 m, the angle of the vector is 206.6⁰.
What is the angle of the vectors?The angle of the vectors is known as the direction of the vectors and it is calculated as follows
(a) Ax=2.00 m and Ay--1.00 m, the angle of the vector;
tan θ = Ay/Ax
tan θ = (-1/2)
θ = arc tan (-1/2)
θ = -26.6⁰ = (180 - 26.6⁰) = 153.4⁰ (2nd quadrant).
(b) Ax=2.00 m and Ay= 1.00 m, the angle of the vector;
tan θ = Ay/Ax
tan θ = (1/2)
θ = arc tan (1/2)
θ = 26.6⁰ (1st quadrant).
(c) Ax= -2.00 m and Ay 1.00 m, the angle of the vector;
tan θ = Ay/Ax
tan θ = (-1/2)
θ = arc tan (-1/2)
θ = -26.6⁰ = (360 - 26.6⁰) = 333.43⁰ (4th quadrant).
(d) Ax= -2.00 m and Ay = -1.00 m, the angle of the vector;
tan θ = Ay/Ax
tan θ = (1/2)
θ = arc tan (1/2)
θ = 26.6⁰ = (180 + 26.6⁰) = 206.6⁰ (3rd quadrant).
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The figure shows wire 1 in cross section; the wire is long and straight, carries a current of 4.20 mA out of the page, and is at distance d₁ = 2.58 cm from a surface. Wire 2. which is parallel to wire 1 and also long, is at horizontal distance d-5.05 cm from wire 1 and carries a current of 6.88 mA into the page. What is the x component of the magnetic force per unit length on wire 2 due to wire 1?
Wire 1 in cross section; the wire is long and straight, carries a current of 4.20 mA out of the page, and is at distance d₁ = 2.58 cm from a surface. Wire 2. which is parallel to wire 1 and also long, is at horizontal distance d-5.05 cm from wire 1 and carries a current of 6.88 mA.
To find the x component of the magnetic force per unit length on wire 2 due to wire 1, we can use the formula for the magnetic force between two parallel current-carrying wires we get
F = μ₀I₁I₂/(2πd)
Where F is the magnetic force per unit length, μ₀ is the magnetic constant (4π x [tex]10^{-7}[/tex]Tm/A), I₁ and I₂ are the currents in the wires, and d is the distance between the wires.
In this problem, we need to find the x component of the magnetic force per unit length on wire 2 due to wire 1. We can break down the problem into components by considering the direction of the magnetic field due to wire 1 at the position of wire 2. The magnetic field due to wire 1 will be perpendicular to both wire 1 and wire 2, and will be directed into the page.
To find the x component of the magnetic force, we need to consider the component of the magnetic force that is perpendicular to wire 2. This component will be directed along the x axis, and will have a magnitude of
[tex]F_{x}[/tex] = Fsinθ
Where θ is the angle between the direction of the magnetic force and the x axis. Since the magnetic force is directed into the page, θ is 90 degrees, and sinθ = 1.
Substituting the values given in the problem, we get
F = (4π x [tex]10^{-7}[/tex]Tm/A)(4.20 x[tex]10^{-3}[/tex] A)(6.88 x [tex]10^{-3}[/tex]A)/(2π*0.0258 m)
F = 3.99 x [tex]10^{-10}[/tex] N/m
Therefore, the x component of the magnetic force per unit length on wire 2 due to wire 1 is
[tex]F_{x}[/tex] = Fsinθ= (3.99 x [tex]10^{-10}[/tex] N/m)(1) = 3.99 x [tex]10^{-10}[/tex] N/m
Hence, the x component of the magnetic force per unit length on wire 2 due to wire 1 is 3.99 x [tex]10^{-10}[/tex] N/m.
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There are two resistors connected in parallel: R1-43 Ohms and R2-43 Ohms.
Determine the equivalent resistance. Round your answer to 2 significant digits only. For example, if the answer is 65.4 Ohms write 65.
The equivalence resistance rounded off to two significant digits is
22 Ohms.How to find the equivalent resistanceThe equation used to work out the equivalent resistance of two resistors in parallel is as follows:
1/Req = 1/R1 + 1/R2
When R1 and R2 are set at 43 Ohms, we can fill in the placed values like so:
1/Req = 1/43 + 1/43
Simplifying to reduce the equation
1/Req = 2/43
cross multiplying the sides of the equation:
2 x Req = 43
Isolating Req
Req = 43/2
Req = 21.5 Ohms
Req = 22 Ohms to 2 significant figures
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Two balloons with charges of 5 nC and -4 nC attract each other with a radius of 2.5 cm. Determine the force between the two balloons.
Answer:
The force between the two balloons can be calculated using Coulomb's law:
F = k * (q1 * q2) / r^2
Substituting the given values, we get:
F = 9 × 10^9 * (5 × 10^-9 * (-4 × 10^-9)) / (0.025)^2
F ≈ -1.44 × 10^-4 N
The force between the two balloons is approximately -1.44 × 10^-4 N. The negative sign indicates that the force is attractive.
Speed velocity and acceleration puzzle level 2
When describing motion, speed indicates the pace at which an object is travelling. It has one scalar component identifying its magnitude, irrespective of direction.
How to explain the informationThe unit for measuring speed can be either meters per second (m/s) or miles per hour (mph). For velocity, it's a different story. Its definition encompasses both speed and direction since it's a vector quantity. Measureable just like speed using m/s or mph.
In plain physic terms, acceleration reveals how much speed changes over time; hence it is also a vector quantity with not only size but also direction. Depending on whether a physical item is increasing in momentum, slowing down or static, the value could be positive, negative, or zero. Acceleration is calculated using units metres per second squared (m/s2).
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A woman lifts a barbell 2.0 m in 5.0 s. If she lifts it the same distance in 10 s, the work done by her is:
The work done by the woman is independent of the time taken to lift the barbell, as long as the distance lifted remains constant.
The work done by the woman lifting the barbell can be calculated using the formula:
work = force x distance
Assuming the force required to lift the barbell remains constant, the work done is directly proportional to the distance lifted.
Therefore, if the woman lifts the barbell 2.0 m in 5.0 s, the work done is:
work1 = force x distance1 = force x 2.0 m
If she lifts it the same distance in 10 s, the work done is:
work2 = force x distance2 = force x 2.0 m
Since the distance lifted is the same in both cases, the work done by the woman is the same, and can be expressed as:
work1 = work2 = force x 2.0 m
Therefore, the work done by the woman is independent of the time taken to lift the barbell, as long as the distance lifted remains constant.
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please I need answer
The coefficient of friction between the two surfaces is tan α.
option B.
What is coefficient of friction?The coefficient of friction between two surfaces that are in contact is the ratio of the force of friction to normal reaction.
Mathematically, the formula for coefficient of friction is given as;
μ = Ff/Fn
where;
Ff is the force of frictionFn is the normal forceFor the given diagram,
Ff = mg sinα
Fn = mg cosα
The coefficient of friction;
μ = mg sinα/mg cosα
μ = sinα/cosα = tan α
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A 2.0-kg block sliding on a rough horizontal surface is attached to one end of a horizontal spring (k = 250 N/m) which has its other end fixed. The block passes through the equilibrium position with a speed of 2.6 m/s and first comes to rest at a displacement of 0.20 m from equilibrium. What is the coefficient of kinetic friction between the block and the horizontal surface?
Select one:
a.
0.32
b.
0.45
c.
0.58
d.
0.19
e.
0.26
Clear my ch
The coefficient of kinetic friction between the block and the horizontal surface is approximately 0.32, The correct choice is a.
We can use conservation of energy to solve this problem. Initially, the block has kinetic energy, which is gradually dissipated by friction until it comes to rest at the maximum displacement from equilibrium.
The initial kinetic energy of the block is:
K = (1/2) * mv²
where m is the mass of the block and v is its speed. Plugging in the given values, we get:
K = (1/2) * (2.0 kg) * (2.6 m/s)² = 6.76 J
At the maximum displacement from equilibrium, all of this energy has been dissipated by friction and converted into potential energy stored in the spring:
U = (1/2) * k * x²
where k is the spring constant and x is the maximum displacement from equilibrium. Plugging in the given values, we get:
U = (1/2) * (250 N/m) * (0.20 m)² = 5 J
Since energy is conserved, we can set K equal to U:
K = U
(1/2) * mv² = (1/2) * k * x²
Solving for the coefficient of kinetic friction, we get:
μk = (kx² - mv²) / (mgx)
where g is the acceleration due to gravity. Plugging in the given values, we get:
μk = [(250 N/m) * (0.20 m)² - (2.0 kg) * (2.6 m/s)²] / [(2.0 kg) * (9.81 m/s²) * (0.20 m)]
μk ≈ 0.32
Option a is correct.
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